1
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solution of the differential equation, $$\,\,\,t{{dx} \over {dt}} + x = t\,\,\,$$ is
A
$$x = t - {1 \over 2}$$
B
$$x = {t^2} - {1 \over 2}$$
C
$$xt = {{{t^2}} \over 2}$$
D
$$x = {t \over 2}$$
2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The solution of differential equation $${{dy} \over {dx}} = ky,y\left( 0 \right) = C$$ is
A
$$x = C{e^{ky}}$$
B
$$x = k{e^{Cy}}$$
C
$$y = {e^{kx}}C$$
D
$$y = C{e^{ - kx}}$$
3
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
The order of differential equation $$\,\,{{{d^2}y} \over {d{t^2}}} + {\left( {{{dy} \over {dx}}} \right)^3} + {y^4} = {e^{ - t}}\,\,$$ is
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
4
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by
A
$$y = {e^{2x}} + {e^{ - 3x}}$$
B
$$y = {e^{2x}} + {e^{3x}}$$
C
$$y = {e^{ - 2x}} + {e^{3x}}$$
D
$$y = {e^{ - 2x}} + {e^{ - 3x}}$$
GATE ECE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12